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Rheology of dense granular flows in two dimensions: Comparison of fully two-dimensional flows to unidirectional shear flow

Ashish Bhateja and Devang V. Khakhar
Phys. Rev. Fluids 3, 062301(R) – Published 8 June 2018
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Abstract

We consider the rheology of steady two-dimensional granular flows, in different geometries, using discrete element method–based simulations of soft spheres. The flow classification parameter (ψ), which defines the local flow type (ranging from pure rotation to simple shear to pure extension), varies spatially, to a significant extent, in the flows. We find that the material behaves as a generalized Newtonian fluid. The μI scaling proposed by Jop et al. [Nature (London) 441, 727 (2006)] is found to be valid in both two-dimensional and unidirectional flows, as observed in previous studies; however, the data for each flow geometry fall on a different curve. The results for the two-dimensional silo flow indicate that the viscosity does not depend directly on the flow type parameter, ψ. We find that the scaling based on “granular fluidity” [Zhang and Kamrin, Phys. Rev. Lett. 118, 058001 (2017)] gives good collapse of the data to a single curve for all the geometries. The data for the variation of the solid faction with inertial number show a reasonable collapse for the different geometries.

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  • Received 1 November 2017
  • Revised 15 February 2018

DOI:https://doi.org/10.1103/PhysRevFluids.3.062301

©2018 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Polymers & Soft Matter

Authors & Affiliations

Ashish Bhateja and Devang V. Khakhar*

  • Department of Chemical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India

  • *khakhar@iitb.ac.in

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Issue

Vol. 3, Iss. 6 — June 2018

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